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September 22, 2014

September 22, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus**

y"-y'=sin x solve in undetermined coefficients
*Friday, February 21, 2014 at 7:47am*

**Calculus**

xy'-y=2xlnx
*Thursday, February 20, 2014 at 10:20pm*

**Calculus**

lim([-1/(x+2)]+1/2)/x as x->0
*Thursday, February 20, 2014 at 6:11pm*

**calculus**

#3 A solid has a base in the form of the ellipse: x^2/25 + y^2/16 = 1. Find the volume if every cross section perpendicular to the x-axis is an isosceles triangle whose altitude is 6 inches. #4 Use the same base and cross sections as #3, but change the axis to the y-axis.
*Thursday, February 20, 2014 at 3:19pm*

**Math (pre calculus)**

ax+b/cx+d=2 solve for x
*Thursday, February 20, 2014 at 12:58pm*

**calculus**

ax+b/cx+d=2 solve for x
*Thursday, February 20, 2014 at 12:32pm*

**Calculus**

x dy/dx +2y=1
*Thursday, February 20, 2014 at 10:10am*

**calculus**

Surface area of revolution y=(x^3)+3 about the x-axis from (0,1)
*Wednesday, February 19, 2014 at 8:14pm*

**Calculus Help **

The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter your answer using interval notation.)
*Wednesday, February 19, 2014 at 4:48pm*

**Finite Math and Applied Calculus **

Betty Sue sets up a retirement account. For the first 35 years, she deposits $500 at the end of each month into an account with an annual interest rate of 3.6%, compounded monthly. Then, she stops making monthly payments and transfers the money into a different account ...
*Wednesday, February 19, 2014 at 3:02pm*

**Calculus**

Integral of dx/{(x+1)sqrt(x^2+4x+2)} is given as -arcsinh{(x+2)/(xsqrt3)}, but I am not getting it.? The hint given is 'Put 1/(x+1)=t' Using it, the expression reduces to Int. -1/sqrt(1+2t-t^2). How to proceed further to get the desired result?
*Wednesday, February 19, 2014 at 2:30am*

**Calculus**

A holding pen for fish is to be made in the form of a rectangular solid with a square base and open top. The base will be slate that costs $4 per square foot and the sides will be glass that costs $5 per square foot. If the volume of the tank must be 50 cubic feet, what ...
*Monday, February 17, 2014 at 10:47pm*

**Calculus**

The half-life of radioactive strontium-90 is approximately 31 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 11 percent of the ...
*Monday, February 17, 2014 at 9:35pm*

**Calculus II - Trapezoidal Rule **

Find the error resulting from approximation by Trapezoidal Rule: integral (from 0 to 1) sqrt(1+ x^3) dx .... compute the results for n=8
*Monday, February 17, 2014 at 5:01pm*

**Calculus**

I need help finding the derivative of √3x/(x^2-4) at x=3
*Monday, February 17, 2014 at 4:59pm*

**Calculus II - Simpson's Rule **

Find the Error resulted from approximation by Simpson's Rule: integral (from 0 to 1) sqrt( 1+x^3) dx ... compute the result for n=8
*Monday, February 17, 2014 at 4:59pm*

**Calculus II**

show that; given any three non-collinear points (x1,y1), (x2,y2), (x3,y3) there is a parabola p(x)=Ax^2+ Bx + c , containing the three points.
*Monday, February 17, 2014 at 2:14pm*

**Calculus, Surface Area Pt.2**

The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is : Cost = ?
*Monday, February 17, 2014 at 11:13am*

**Calculus, Surface Area Pt.2**

The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is : Cost = ?
*Monday, February 17, 2014 at 11:12am*

**Calculus, Surface Area**

An open rectangular box (no top) has a square base with side 10 cm and height 16 cm. The surface area is:
*Monday, February 17, 2014 at 11:09am*

**Calculus**

integral(8&4) y dy/(y^2-2y-3)
*Monday, February 17, 2014 at 7:57am*

**Calculus**

What is the integral of [(2x-y)^2]dx?
*Sunday, February 16, 2014 at 10:43pm*

**Calculus**

What is the integral of [(2x-y)^3]dx?
*Sunday, February 16, 2014 at 10:28pm*

**Calculus**

Sorry for all of the questions.. if f'(x) exists for all x and f(-1)=-12 and f(5)=12, then for at least one value of c where -1<c<5, what must be true? a) f'(c)=4 b) f'(c)=-4 c)f(c)=14 d)f(c)=-14 e) f'(c^2)=64
*Sunday, February 16, 2014 at 11:53am*

**Calculus**

A car traveling at 72 mph starts braking and decelerates at a constant rate. the car takes 1/9 of a mile to stop. Find, to the nearest half-second, how long it took the car to cover the 1/9 of a mile. I don't need the whole thing done. Just don't know how to start!
*Sunday, February 16, 2014 at 11:37am*

**Calculus**

The figure at the right consists of a rectangle topped by an isosceles right triangle. The area of the figure is 200 sq. feet. The minimum perimeter of the figure is ___ft.
*Sunday, February 16, 2014 at 11:24am*

**pre calculus **

Slove: 2logbase5(x+2) = 2 + log base5(x-2)
*Saturday, February 15, 2014 at 8:53pm*

**Calculus**

Line l is tangent to the graph of y= x - x²/500 at point Q & it crosses the y-axis at (0, 20) a). Find the x-coordinate of point Q b. Write an equation for line l c) Suppose the graph of y=x-x^2/500, where x and y are measured in feet, represents a hill. There is a 50-...
*Saturday, February 15, 2014 at 6:25pm*

**Calculus 3**

If the curve of intersection of the parabolic cylinder y = x^2 and the top half of the ellipsoid x^2 + 5y^2 + 5z^2 = 25. Then find parametric equations for this curve.
*Saturday, February 15, 2014 at 1:05am*

**Calculus**

How to find x-intercepts from x(x-2)(x+2)?
*Friday, February 14, 2014 at 1:48pm*

**Calculus**

Let h(x) = 5g(x) - 3x^2 + 2 sin(x) - 7x, and suppose g'(0) = 2, find h'(0)
*Thursday, February 13, 2014 at 11:47pm*

**Calculus**

The position of a function of a moving particle is s(t)=5+4t-t^2 for 0<t<10 where s is in meters and t is measured in seconds. What is the maximum speed in m/sec of the particle on the interval [0,10]?
*Thursday, February 13, 2014 at 3:03pm*

**Calculus**

Let f be the function defined by f(x)=x^3 + x. If g(x)= the inverse of f(x), and g(2)=1, what is the value of g'(2)?
*Thursday, February 13, 2014 at 3:00pm*

**Calculus-Help Please**

Find a function f(x), perhaps a piecewise function that is defined but not continuous on (-infinity, infinity) for which the function lf(x)l is both defined and continuous on (-infinity, infinity). f(x)= lf(x)l =
*Wednesday, February 12, 2014 at 2:14pm*

**Calculus I**

If x^2+y^2=25, find dy/dt when x=3 and dx/dt= -8.
*Wednesday, February 12, 2014 at 9:57am*

**Calculus I**

Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 8 cm/s, find the rate of change of the radius when the radius is 3 cm.
*Tuesday, February 11, 2014 at 1:38pm*

**Calculus (Math)**

Integral of (cot4x)^5 (csc4x)^7
*Tuesday, February 11, 2014 at 12:18am*

**calculus**

3. Plot f(x) =ln(x) and f’(x) = 1/x in your calculator. Remembering that the derivative of f(x) is the instantaneous rate of change of f(x) why does it make sense that 1/x is the derivative of ln(x)?
*Monday, February 10, 2014 at 6:36am*

**pre calculus **

The age of a document is in dispute, so archaeologists test for carbon-14. Due to radioactive decay, the amount A of carbon -14 present compared to the initial amount A0 after t years is given by the formula A(t) = A0e^-0.000124t . If 72% of the original amount of carbon- 14 ...
*Saturday, February 8, 2014 at 11:06pm*

**pre calculus **

A sum of $5000 is be invested in a bank. if the annual interest is 10% and compounded monthly, how long will it take for the original investment to double.
*Saturday, February 8, 2014 at 10:57pm*

**pre calculus **

Which is worth more after 5 years, an investment of $1000 at 5% interest compounded semi - annually(twice a year). or an investment of $1000 at 5% interest compounded continuously?
*Saturday, February 8, 2014 at 10:03pm*

**Calculus Help**

If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 32 ft/sec, its height after t seconds is s(t)=64+32t–16t2. What is the maximum height the ball reaches "in ft"? What is the velocity of the ball when it hits the ground (...
*Saturday, February 8, 2014 at 1:01am*

**Calculus 3**

Find the center of the ellipsoid x^2+4y+2z^2+2x-4y+z = 20 I'm having trouble factoring to get the center points. Can someone please help. This is where I'm stuck. (x^2+2x+1)+4(y^2-y+1/4)+2(x^2+1/2z+1/16)=20+1+1+1/8 (x+1)^2+ Now I don't know how to get the y ...
*Friday, February 7, 2014 at 3:45pm*

**grade 12 calculus and vectors**

Determine the average rate of change form x = 1 to x = 4 for each function. a) y= x b) y=x^2 c) y=x^3 d) y=7
*Thursday, February 6, 2014 at 5:07pm*

**calculus**

Evaluate the limit as x approaches 0 of [tan(x+Δx)-tan(x)] /Δx: sec^ 2 (x) cot (x) sec (x) does not exist
*Thursday, February 6, 2014 at 1:18pm*

**calculus**

Suppose f (1) = 2, f ΄(1) = 3, g(1) = 5, and g΄(1) = -4. Evaluate (f g)΄v at x = 1. Answer -12 7 10 23
*Thursday, February 6, 2014 at 1:14pm*

**calculus**

If limit as delta x approaches 0 of tan(0+Δx)-tan(0)/Δx =1 which of the following is false: d/dx [tanx]=1 the slope of y = tan(x) at x = 0 is 1 y = tan(x) is continuous at x = 0 y = tan(x) is differentiable at x = 0
*Thursday, February 6, 2014 at 12:56pm*

**calculus**

Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. Describe the continuity of h at x = 0. how would you do this if you were given two graphs: F--- discontinuity at -2,0; point at -1,1; and point at 0,0 (to make a parabola) then discontinuity at 0,-1; and then ...
*Thursday, February 6, 2014 at 12:49pm*

**Math (pre calculus)**

please simplify (1/1+x+h) - (1 /1+x ) divided by h
*Thursday, February 6, 2014 at 1:49am*

**pre calculus **

Simplify the rational expression 3 (1 + x)^1/3 - x (1 + x)^-2/3 divided by (1 + x)^2/3
*Thursday, February 6, 2014 at 1:44am*

**Math (pre calculus)**

State whether the given equation is true for all values of the variables (disregard any value that makes a denominator zero) equation one (2/ 4 + x) = (1/2) + (2/x) equation two (1 + x + x^2 / x) = (1/x) + 1 + x
*Thursday, February 6, 2014 at 1:41am*

**Calculus**

A trough is 15 ft long and 4 ft across the top, as shown in the figure. Its ends are isosceles triangles with height 3 ft. Water runs into the trough at the rate of 2.5 ft^3/min. How fast is the water level rising when it is 2 ft deep?
*Thursday, February 6, 2014 at 1:02am*

**Pre-Calculus**

A certain sum of money is invested in a business. in each year this investment earns 1 1/2 times as much as in the preceding year. If the investment earned a total of $29,250.00 in four years, how much did it earn in the fourth year?
*Wednesday, February 5, 2014 at 7:22pm*

**calculus**

Which of the following best describes the limit as x approaches 4 of the quotient of 2 times x divided by the quantity negative 2 plus square root of x ? It exists and equals 4 It fails to exist because it is unbounded. It fails to exist because its one-sided limits are not ...
*Wednesday, February 5, 2014 at 6:58pm*

**calculus**

It is known that x 2 + 4x ≤ f(x) ≤ -x 2 -4x the interval [-4, 0]. Use the Squeeze Theorem to evaluate the limit as x approaches negative 2 of f of x. -4 0 4 Squeeze Theorem does not apply
*Wednesday, February 5, 2014 at 6:58pm*

**calculus**

Suppose f of x equals 3 times x minus k when x is less than 5 and equals 1 plus k times x when x is greater than or equal to 5.Find the value of k that would make f continuous at x = 5. -3 0 7/3 no such k will make f continuous
*Wednesday, February 5, 2014 at 6:57pm*

**calculus**

At a constant temperature, the pressure, P, and volume, V, of a trapped gas have the relationship P equals the quotient of k divided by V , where k is some positive constant. What occurs if the volume is compressed such that V → 0+? The pressure increases without bound. ...
*Wednesday, February 5, 2014 at 6:56pm*

**Calculus 2**

Find Mx, My, and (x, y) for the laminas of uniform density ρ bounded by the graphs of the equations. y=sqrt(x)+4 y=(1/2)x+4 The I keep getting 20/3 for Mx but webassign acts like it is wrong.
*Wednesday, February 5, 2014 at 1:51pm*

**calculus**

At midnight, ship B was 90 km due south of ship A. Ship A sailed east at 15 km/hr and ship B sailed north at 20 km/hr. At what time were they closest together?
*Wednesday, February 5, 2014 at 10:38am*

**calculus**

At midnight, ship B was 90 km due south of ship A. Ship A sailed east at 15 km/hr and ship B sailed north at 20 km/hr. At what time were they closest together?
*Wednesday, February 5, 2014 at 10:35am*

**Calculus**

I'd really like some help in solving an integral. ʃ 1/ √x (1-3√x) In numerator: 1 In denominator: the square root of x times 1 minus 3 times the square root of x The answer given is -2/3 ln l1-3√xl + C but I don't know how to get there.
*Wednesday, February 5, 2014 at 12:05am*

**CALCULUS 2**

Use calculus to find the volume of the following solid S: The base of S is an elliptical region with boundary curve 9x^2+4y^2=36. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.
*Tuesday, February 4, 2014 at 10:47pm*

**Calculus**

A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 60 ft is given by the following. y= 155-(1/40)(x-50)^2 Find the distance traveled by the kite.
*Tuesday, February 4, 2014 at 10:27pm*

**Calculus**

A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 60 ft is given by the following. y= 155-(1/40)(x-50)^2
*Tuesday, February 4, 2014 at 10:09pm*

**Calculus**

Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9
*Tuesday, February 4, 2014 at 10:08pm*

**calculus**

Use the principles of translating and reflecting to graph the function f(x)=(x-5)^3 +2
*Tuesday, February 4, 2014 at 1:27am*

**pre calculus**

determine the order of magnitude for the following: 1. a $1 bill and a dime 2. two products scored a PH level of 6.1 and 4.o I can't figure out #1… but I did get #2 to be 10^2.1 Please help with #1 and check to see I did #2 right?
*Monday, February 3, 2014 at 4:25pm*

**calculus**

y= -5x + 4 OVER 10 - 5x find the asymptotes of the function
*Monday, February 3, 2014 at 1:37am*

**Calculus II**

Solve the initial value problem using Taylor Series and the following conditions: y'(t) = y(t) + 2t y(0) = A
*Sunday, February 2, 2014 at 11:01pm*

**CALCULUS PLEASE HELP!!!**

SHOW WORK PLEASE!!! The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin πt + 3 cos πt, where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the ...
*Sunday, February 2, 2014 at 8:12pm*

**calculus**

In a lab experiment 8 grams of acid were produced in 28 minutes and 17 grams in 47 minutes. Let g be the number of grams and m be the number of minutes. Find a linear equation that you could use to calculate g for any number of minutes.
*Sunday, February 2, 2014 at 3:28am*

**Calculus & Vectors**

A search and rescue aircraft, travelling at a speed of 240 km/h starts out at a heading of N 20 degrees West. After travelling for 1h and 15 min, it turns to a heading of N 80 degrees E and continues for another two hours before returning to base. Find the total distance the ...
*Saturday, February 1, 2014 at 6:10pm*

**calculus**

The rabbit population on a small island is observed to be given by the function P(t)=120t−0.4t4+700 where t is the time (in months) since observations of the island began.
*Saturday, February 1, 2014 at 5:28pm*

**CALCULUS**

Find a formula for the inverse of the function. y=x^2-x, x>=(greater than or equal to) 1/2 Please give me a step by step explanation. I think my algebra is wrong... Ty
*Saturday, February 1, 2014 at 9:16am*

**calculus**

Four out of five days were used to create a problem, how many days will it take to solve it?
*Saturday, February 1, 2014 at 8:21am*

**calculus**

Four out of five days were used to create a problem, how many day will it take to solve it?
*Saturday, February 1, 2014 at 8:21am*

**integral calculus**

Evaluate the limit limit gose from x to 4 (x/x-4)integral from x to 4
*Friday, January 31, 2014 at 10:04pm*

**Calculus**

Let f be the function given by f(x)= 2x/(sqrt(x^2 +x +1)) c. Write an equation for each horizontal asymptote of the graph of f. d. Find the range of f. Use f'(x) to justify your answer.
*Friday, January 31, 2014 at 5:26pm*

**Calculus**

Find the distance between the given parallel planes. 4z = 4y − 4x, 6z = 3 − 6x + 6y
*Friday, January 31, 2014 at 3:15pm*

**Calculus**

Find the distance between the given parallel planes. 5x−4y+z=10, 10x−8y+2z=3
*Friday, January 31, 2014 at 3:14pm*

**Calculus**

Find the distance from the point to the given plane. (−3,8,7), x−2y−4z=8
*Friday, January 31, 2014 at 3:13pm*

**Calculus**

Find the distance from the point to the given plane. (1,−5,9), 3x+2y+6z=5
*Friday, January 31, 2014 at 3:12pm*

**Calculus**

Find parametric equations for the line through the point (0,2,2)that is parallel to the plane x+y+z = 2 and perpendicular to the line x=1+t, y=2−t, z=2t. (Use the parameter t.) (x(t), y(t), z(t)) =
*Friday, January 31, 2014 at 3:11pm*

**Calculus**

Where does the line through (1,0,1) and (3,−2,5)intersect the plane x+y+z=10? (x, y, z) =________?
*Friday, January 31, 2014 at 3:09pm*

**Calculus**

Find the point at which the line intersects the given plane. x = 1 + 4t, y = 4t, z = 2−3t ; x + 2y − z + 1 = 0 (x, y, z) = _____________?
*Friday, January 31, 2014 at 3:07pm*

**Calculus**

Find the point at which the line intersects the given plane. x = 4 − t, y = 5 + t, z = 2t; x − y + 3z = 3 (x, y, z) =____________?
*Friday, January 31, 2014 at 3:05pm*

**Calculus**

Find an equation of the plane. The plane that passes through the point (−1, 2, 1)and contains the line of intersection of the planes x + y − z = 4 and 4x − y + 5z = 4
*Friday, January 31, 2014 at 3:04pm*

**Calculus**

Find an equation of the plane. The plane that passes through (8, 0, −2)and contains the line x = 6 − 2t, y = 3 + 5t, z = 3 + 2t
*Friday, January 31, 2014 at 2:57pm*

**CALCULUS**

Starting with the graph of f(x)=5x, write the equation of the graph that results from reflecting f(x) about the line y =4. y=_______? Thank you!
*Friday, January 31, 2014 at 12:27am*

**Calculus**

Let g and h be any two twice-differentiable functions that are defined for all real numbers and that satisfy the following properties for all x: I) (g(x))^2 + (h(x))^2=1 ii) g'(x)= (h(x))^2 iii) h(x)>0 iv) g(0)=0 a)Justify that h'(x)=-g(x)h(x) for all x b) Justify ...
*Thursday, January 30, 2014 at 2:44pm*

**Calculus II**

Find an equation of the set of all points equidistant from the points A(−2, 6, 3) and B(5, 3, −3)
*Thursday, January 30, 2014 at 11:33am*

**Physics**

Problem 1 (80 points) Consider a spring of equilibrium length L, lying horizontally in a frictionless trough. The spring has cross sectional area S perpendicular to its length. The trough constrains the motion of the spring so that any wave propagating along the spring is a ...
*Wednesday, January 29, 2014 at 11:24pm*

**Pre-Calculus**

Find dy/dx if y= x^6[(x^2-9)^8]? So the answer is supposed to be 2x^5[(x^2-9)^7](11x^2-27), but I don't understand how to get it. Do you use product rule, chain rule or both? thanks
*Wednesday, January 29, 2014 at 9:44pm*

**Calculus**

A superball is tossed vertically 40 feet and rebounds on each bounce 3/5 of the height from which it fell. How far will it travel before coming to rest?
*Wednesday, January 29, 2014 at 8:14pm*

**Calculus**

A particle starts at the point (5,0) at t=0 and moves along the x-axis in such a way that at time t>0 its velocity v(t) is given by v(t)= t/(1+t^2). a). Determine the maximum velocity of the particle. Justify your answer. b). Determine the position of the particle at t=6. c...
*Wednesday, January 29, 2014 at 4:38pm*

**Calculus**

write in parametric form the equation of the line that joins (1,-2) and (3,0)
*Wednesday, January 29, 2014 at 4:14pm*

**Physics**

Problem 1 (80 points) Consider a spring of equilibrium length L, lying horizontally in a frictionless trough. The spring has cross sectional area S perpendicular to its length. The trough constrains the motion of the spring so that any wave propagating along the spring is a ...
*Wednesday, January 29, 2014 at 3:50pm*

**Calculus **

Consider the solid obtained by rotating the region bounded by the following curves about the line x=1. y=x,y=0,x=4,x=6 Find the volume So it would be pi (integral from 3 to 6) of ((1-y)^2 -(1-0)^2) right? so then you integrate it and get pi(Y^3/3-y^2) from 3 to 6. ?
*Wednesday, January 29, 2014 at 3:15pm*

**calculus**

i am on "rolles and the mean value theorem" and was just wondering, when i am doing rolles, do i really need to find the exact value of x where f'(c) = 0? for example: f(x) = (x+4)^2 (x-3) on [-4,3] i get to: 3x^2+10x-8=7 then i dont know if i then need to find ...
*Tuesday, January 28, 2014 at 11:51pm*

**Calculus**

Find the critical numbers of the function. h(t) = t3/4 − 5t1/4
*Tuesday, January 28, 2014 at 10:25pm*

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